Dergiler / The Eurasia Proceedings of Science Technology Engineering and Mathematics / 2026 / Issue: 2

Central Automorphism Groups for Semidirect Product of p-Groups

Sayfa
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Yayın Tarihi
2018-08-19
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this work, the group Aut C ( ℤ 3² ⋊ ϕ ℤ₃ ) of all central automorphisms of ℤ 3² ⋊ ϕ ℤ₃ is studied and we determine the form of central automorphisms of ℤ 3² ⋊ ϕ ℤ 3 . 

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let ℤ p² ⋊ ϕ ℤ p be the semi-direct product of ℤ p² and ℤ p with respect to ϕ, (ϕ is homomorphism from ℤ p to automorphisms group of ℤ p² ).
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Temel Bulgular & Veri:Let ℤ p² ⋊ ϕ ℤ p be the semi-direct product of ℤ p² and ℤ p with respect to ϕ, (ϕ is homomorphism from ℤ p to automorphisms group of ℤ p² ).
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Sonuç & Katkı:In this work, the group Aut C ( ℤ 3² ⋊ ϕ ℤ₃ ) of all central automorphisms of ℤ 3² ⋊ ϕ ℤ₃ is studied and we determine the form of central automorphisms of ℤ 3² ⋊ ϕ ℤ 3 . 
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:P-group · Semi-direct product

Abstract

Let ℤ p² ⋊ ϕ ℤ p be the semi-direct product of ℤ p² and ℤ p with respect to ϕ, (ϕ is homomorphism from ℤ p to automorphisms group of ℤ p² ). In this work, the group Aut C ( ℤ 3² ⋊ ϕ ℤ₃ ) of all central automorphisms of ℤ 3² ⋊ ϕ ℤ₃ is studied and we determine the form of central automorphisms of ℤ 3² ⋊ ϕ ℤ 3 . 

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Bu Makaleye Atıf Yap

Oztekın, O., Gurbuz, Z. (2018). Central Automorphism Groups for Semidirect Product of p-Groups. The Eurasia Proceedings of Science Technology Engineering and Mathematics, Issue: 2. https://ajindex.com/articles/1551599

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Kaynakça (3)

  1. J. E. AdneyT.Yen, Automorphisms of p-groups, Illinois J. Math. 9(1965), 137-143.
  2. A. R. Jamali and H. Mousavi, On the central automorphism group of finite p-groups, Algebra Coolog. 9(1) (2002), 7-14.
  3. G. Saeden Stahl, J. Laine, G. Behm, On p-groups of low power order, Master Thesis, KTH, (2010).